Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 348208, 15 pages
Research Article

Riemann-Stieltjes Operators between Vector-Valued Weighted Bloch Spaces

Maofa Wang

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received 6 June 2008; Revised 1 August 2008; Accepted 11 September 2008

Academic Editor: Jozsef Szabados

Copyright © 2008 Maofa Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let X be a Banach space, we study Riemann-Stieltjes operators between X-valued weighted Bloch spaces. Some necessary and sufficient conditions for these operators induced by holomorphic functions to be weakly compact and weakly conditionally compact are given by certain growth properties of the inducing symbols and some structural properties of the abstract Banach space, which extend some previous results.